Two phase transitions in the fully frustrated $XY$ model

Abstract

The fully frustrated $XY$ model on a square lattice is studied by means of Monte Carlo simulations. A Kosterlitz-Thouless transition is found at $T_{\mathrm{KT}}\approx 0.446$, followed by an ordinary Ising transition at a slightly higher temperature, $T_c\approx 0.452$. The non-Ising exponents reported by others, are explained as a failure of finite size scaling due to the screening length associated with the nearby Kosterlitz-Thouless transition.

REVTEX file, 8 pages, 5 figures in uuencoded postscript

References in corpus (1)

• Critical Exponents of the Fully Frustrated 2-D Xy Model

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